Finding the Third Proportional to 11,566 and 17,316

Step by Step Solution

1. Step 1: Write the proportion equation
   11,566 : 17,316 = 17,316 : x
2. Step 2: Convert to fraction form
   11,566/17,316 = 17,316/x
3. Step 3: Cross multiply
   11,566x = 17,316 × 17,316
4. Step 4: Simplify right side
   11,566x = 299,843,856
5. Step 5: Solve for x
   x = 299,843,856/11,566
6. Step 6: Final answer
   x = 25,924.59